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A220811 Numerators of the Verhulst sequence x(n+1)=4*x(n)-3*x(n)^2, x(0)=1/10; see A220812 for denominators. 3
1, 37, 10693, 84699253, 12357810823725973, 36165967884042486031784215609813, 10542455454648216809579521558960739092388747823498758873614315093 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

Peitgen, H.-O. and Richter, P. H., The Beauty of Fractals. Springer, 1986, p. 23f.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..9

Eric Weisstein's World of Mathematics,Logistic Equation

Wikipedia, Logistic map

PROG

(Haskell)

import Data.Ratio ((%), numerator)

a220811 n = a220811_list !! n

a220811_list = map numerator vs where

   vs = iterate (\x -> x * (4 - 3 * x)) (1 % 10)

-- Reinhard Zumkeller, Dec 22 2012

CROSSREFS

Cf. A051840.

Sequence in context: A083117 A219001 A212945 * A129055 A193158 A202794

Adjacent sequences:  A220808 A220809 A220810 * A220812 A220813 A220814

KEYWORD

nonn,frac

AUTHOR

Reinhard Zumkeller, Dec 22 2012

STATUS

approved

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Last modified January 27 04:57 EST 2020. Contains 331291 sequences. (Running on oeis4.)